CeMaST

IMaST Eighth Grade Curriculum

National Curriculum Content Standards

Eighth Grade Mathematics Content Correlated to the Principles and Standards for School Mathematics


Numbers and Operations

Module Title
Content Correlations
Animal Habitats
  • Compute fluently with rational numbers
  • Work flexibly with fractions and percents to solve problems
  • Develop an understanding of large numbers and recognize and appropriately use exponential notation
  • Develop meaning for integers and represent and compare quantities with them
  • Develop and use strategies to estimate the results of rational-number computations
Human Settlements
  • Compute fluently with rational numbers
  • Work flexibly with fractions, decimals, and percents to solve problems
  • Compare numerical values
  • Understand and use ratios and proportions to represent quantitative relationships
  • Develop an understanding of large numbers and recognize and appropriately use exponential notation
  • Develop and use strategies to estimate the results of rational-number computations and judge the reasonableness of the results
Systems
  • Compute fluently with rational numbers
  • Analyze and compare a variety of numeration systems
  • Identify the components and functions of a mathematical system and investigate sets of numbers
  • Understand and use ratios to represent quantitative relationships
Communication Pathways
  • Understand the place-value structure of the base-ten number system and be able to represent and compare whole numbers (Standard Grades 3-5)
  • Understand the place-value structure of the base-two number system and be able to perform computations using them
  • Understand the place-value structure of the base-eight number system and be able to perform computations using them
  • Understand the place-value structure of the base-sixteen number system and be able to perform computations using them
  • Compare the properties of different base systems and of computing between systems
  • Compute fluently with rational numbers
  • Develop an understanding of matrices and use them to organize data
  • Develop an understanding of properties of, and representations for, the multiplication of matrices (Standard Grades 9-12)
  • Encode and decode messages based on data and recognize errors in codes

 

Algebra

Module Title
Content Correlations
Animal Habitats
  • Generalize a variety of patterns
  • Explore relationships between symbolic expressions and graphs of lines, paying particular attention to the meaning of intercept and slope
Human Settlements
  • Represent a variety of patterns with tables and graphs
  • Investigate how a change in one variable relates to a change in a second variable (Standard Grades 3-5)
  • Explore relationships between slopes of lines
Systems
  • Represent, analyze, and generalize a variety of patterns with tables, graphs, and symbolic rules
  • Identify relationships among variables
  • Investigate how a change in one variable relates to a change in a second variable (Standard Grades 3-5)
  • Express mathematical relationships using equations (Standard Grades 3-5)
  • Explore relationships between symbolic expressions and graphs of lines
  • Recognize and generate equivalent forms for simple algebraic expressions and solve linear equations
  • Write equivalent forms of systems of equations and solve them with fluency (Standard Grades 9-12)
  • Model and solve contextualized problems using various representations, such as graphs, tables, and equations
Communication Pathways
  • Represent, analyze, and generalize a variety or patterns with graphs or words
  • Investigate how a change in one variable relates to a change in a second variable (Standard Grades 3-5)
  • Explore relationships between symbolic expressions and graphs of lines

 

Geometry

Module Title
Content Correlations
Animal Habitats
  • Not Applicable
Human Settlements
  • Understand relationships among the angles, side lengths, perimeters, areas, and volumes of similar objects
  • Create and critique inductive and deductive arguments concerning geometric ideas and relationships such as the Pythagorean relationship
  • Examine special geometric shapes, such as regular polygons
  • Represent and examine the properties of parallel lines
  • Build and draw geometric objects (Standard Grades 3-5)
  • Use geometric ideas to solve problems in, and gain insights into, other disciplines and other areas of interest such as art and architecture (Standard Grades 9-12)
Systems
  • Use coordinate geometry to represent and examine the properties of geometric shapes
  • Identify, compare, and analyze attributes of ellipses and develop vocabulary to describe the attributes (Standard Grades 3-5)
  • Compose and decompose two- and three-dimensional figures in order to solve problems
  • Use geometric models to represent and explain relationships
Communication Pathways
  • Make and use coordinate systems to specify locations and to describe paths (Standard Grades 3-5)
  • Use visual tools such as networks to represent and solve problems

 

Measurement

Module Title
Content Correlations
Animal Habitats
  • Select and apply techniques and tools to accurately find length measures to the appropriate levels of precision
  • Calculate and compare volume of rectangular prisms
  • Solve problems involving scale factors
Human Settlements
  • Use common benchmarks to select appropriate methods for estimating measurements
  • Select and apply techniques and tools to accurately find length, volume, and angle measures to appropriate levels of precision
  • Solve problems involving scale factors, using ratio and proportion
  • Solve simple problems involving rates
Systems
  • Select and apply techniques and tools to accurately find length and angle measures to appropriate levels of precision
  • Solve problems involving scale factors
Communication Pathways
  • Understand both metric and customary systems of measurement
  • Use common benchmarks to select appropriate methods for estimating measurements
  • Select and apply techniques and tools to accurately find length, volume, and angle measures to appropriate levels of precision

 

Data Analysis and Probability

Module Title
Content Correlations
Animal Habitats
  • Collect data about a characteristic shared by two populations or different characteristics within one population
  • Develop and apply sampling techniques to gather data about a population
  • Identify and analyze outcomes of an experiment
  • Develop an understanding about how different variables affect the outcome of an experiment
  • Select, create, and use appropriate graphical representations of data
  • Display data using a graphing calculator
  • Find, use, and interpret measures of center and spread, including mean and interquartile range
  • Discuss and understand the correspondence between data sets and their graphical representations
  • Make conjectures about possible relationships between two characteristics of a sample on the basis of approximate lines of fit
  • Develop an understanding of what it means for a game to be fair
  • Compute probabilities for simple compound events, using such methods as organized lists and tree diagrams
Human Settlements
  • Select, create, and use various graphical representations of data
Systems
  • Collect data about a characteristic shared by two populations
  • Represent data using tables (Standard Grades 3-5)
  • Select, create, and use appropriate graphical representations of data
Communication Pathways
  • Select, create, and use appropriate graphical representations of data
  • Find measures of center and spread

 

For ordering information please visit the publisher's website: RonJon Publishing, Inc.